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Albert went shopping with half of his monthly allowance. He spent $35.50 on a shirt and 3/5 of the remainder on a book. He had $25.80 left after his shopping trip. What was Albert's monthly allowance?

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nkirotedoreen46

Answer:

$ 213.50

Step-by-step explanation:

From the question;

Albert spent;

  • $35.5 on a shirt
  • 3/5 on the remainder on a book
  • Remainder is $25.80

We are required to determine Albert's monthly allowance;

  • If we assume that the allowance was x dollars
  • He therefore, went with half of his allowance for shopping, which is, x/2

Then;

Deducting $35.5, we get,

$(x/2 - 35.5)

Then, 3/5 of the remainder is on a book

Thus, 1 - 3/5 = 2/5 of the remainder (represents the amount that remained after buying a book and a shirt.

Therefore;

2/5 (x/2 - 35.5) = 28.5

We get;

x/2 - 35.5 = 28.5 (5/2)

x/2 - 35.5 = 71.25

 x/2 = 71.25 + 35.5

  x/2  = $ 106.75

    x = $ 106.75 × 2

       = $ 213.50

Therefore, Albert's monthly allowance is $ 213.50